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Finding the Fourth Proportional to 166.77, 250.02 and 84.54

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Solution

The fourth proportional to 166.77, 250.02 and 84.54 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.77 : 250.02 = 84.54 : x
  2. Step 2: Convert to fraction form
    166.77/250.02 = 84.54/x
  3. Step 3: Cross multiply
    166.77x = 250.02 × 84.54
  4. Step 4: Simplify right side
    166.77x = 21,136.69
  5. Step 5: Solve for x
    x = 21,136.69/166.77
  6. Step 6: Final answer
    x = 126.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.